Applied Laplace Transforms and z-Transforms for Scientists and Engineers

A Computational Approach using a Mathematica Package

Authors: Graf, Urs

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About this Textbook

The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the z-transformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z­ transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and z-transformations. The first version of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and z-transforms but also includes many routines from various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the built-in commands of Mathematica. The code is placed in front of the already built-in code of Laplace and z-transformations of Mathematica so that built-in functions not covered by the Package remain available. The Package substantially enhances the Laplace and z-transformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications.

Reviews

“This book is a very good tool for scientists and engineers that work in the fields of applications, especially on practical problems leading to ordinary differential equations which could be solved through Laplace transformation.”(ZENTRALBLATT MATH)

"This monograph gives an introduction to the Laplace and z-transformations with emphases on applications in engineering and mechanics.  Throughout the book a Mathematics package developed by the authors is used, which substantially enhances the built facilities of Mathematics.  Both analytical and numerical aspects are treated."

---MONATSHEFTE FÜR MATHEMATIK


Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-0348-7846-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-7643-2427-8
  • book with CD
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-3-0348-9593-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Applied Laplace Transforms and z-Transforms for Scientists and Engineers
Book Subtitle
A Computational Approach using a Mathematica Package
Authors
Copyright
2004
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-7846-3
DOI
10.1007/978-3-0348-7846-3
Hardcover ISBN
978-3-7643-2427-8
Softcover ISBN
978-3-0348-9593-4
Edition Number
1
Number of Pages
X, 500
Topics